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Algebraic Approach to Shape Invariance

A. B. Balantekin
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Abstract

The integrability condition called shape invariance is shown to have an underlying algebraic structure and the associated Lie algebras are identified. These shape-invariance algebras transform the parameters of the potentials such as strength and range. Shape-invariance algebras, in general, are shown to be infinite-dimensional. The conditions under which they become finite-dimensional are explored.

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A. B. Balantekin. 1997-12-08. Algebraic Approach to Shape Invariance. https://doi.org/10.1103/physreva.57.4188

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